This document lays out results for estimating statistical power and minimum detectable effect size (MDES) for: Blocked RCT, with 3 levels, and randomization done at level 2 (school level). This document contains models assuming fixed treatment effects and random treatment effects.
Default parameters:
\(\bar{n}\) = 50
\(\bar{n}\) = 50
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6
\(R^2_3 =\) 0.6, 0.6, 0.6
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.7, 0.7, 0.7
\(\text{ICC}_3\) = 0.7, 0.7, 0.7
\(\omega_3\) = 0.8